Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 7 - Trigonometric Identities and Equations - 7.2 Verifying Trigonometric Identities - 7.2 Exercises - Page 667: 64


$\dfrac {csc\theta +\cot \theta }{\tan \theta +\sin \theta }=csc\theta \cot \theta $

Work Step by Step

$\dfrac {csc\theta +\cot \theta }{\tan \theta +\sin \theta }=\dfrac {\dfrac {1}{\sin \theta }\left( 1+\cos \theta \right) }{\dfrac {\sin \theta }{\cos \theta }\left( 1+\cos \theta \right) }=\dfrac {\cos \theta }{\sin ^{2}\theta }=csc\theta \cot \theta $
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